New Common Fixed Point Results for Four Maps on Cone Metric Spaces

نویسندگان

  • Yan Han
  • Shaoyuan Xu
چکیده

Since Huang and Zhang [1] introduced the concept of cone metric space, the study of common fixed points of mappings satisfying certain contractive conditions on cone metric spaces has been at the center of strong research activity, because it has not only important theoretical meaning but also wide applications. Recently, some authors obtained a number of meaningful consulting fixed point theorems for one or two mappings on cone metric spaces(see [1-3,5-8]). The aim of this paper is to present coincidence points results for four mappings without satisfying the notion of continuity and commutation on non-normal cone metric spaces. Common fixed point theorems are obtained under weakly compatible maps. Our results generalized and unified these main results in [1-5]. We recall some definitions and properties of cone metric spaces in [1]. Let be a real Banach space and be a subset of , E P E  denotes the zero element of and int denotes the interior of . The subset is called a cone if and only if E P P P

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تاریخ انتشار 2011